Vibration and buckling analysis of double-functionally graded Timoshenko beam system on Winkler-Pasternak elastic foundation

Deng, Hao; Chen, kaidong; Cheng, Wei; Zhao, Shengdun

doi:10.1016/j.compstruct.2016.10.027

Cited by 84 publications

(34 citation statements)

References 58 publications

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“…Results declared that critical buckling load can be increased by including elastic medium constant. Moreover, critical buckling load varies directly with the slenderness ratio and varies inversely with gradient index [106]. Lanc et al [101] attempted buckling analysis of FG Sandwich box beams considering different boundary conditions.…”

Section: Fgm Beamsmentioning

confidence: 99%

“…Results seem to be coinciding with the previous results reported in the literature. By adjusting gradient index, the buckling of two-dimensional FGM Timoshenko beams can be controlled (Simsek et al and Deng et al [106,110]). Taati [111] analyzed the buckling of FG microbeams.…”

Section: Fgm Beamsmentioning

confidence: 99%

“…A two-mode model was also developed to study the frequency-varying behavior of critical veering angular velocities. It was also examined that natural frequencies of FGM beams decrease with increasing gradient index [106], whereas it has an increasing trend with the hub angular velocity. Liu and Shu [183] studied the impact of delamination on exponentially FGB beam's frequencies using Euler-Bernoulli hypothesis, the "free mode," and "constrained mode" assumptions.…”

Section: Fgm Beamsmentioning

confidence: 99%

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Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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Section: Fgm Beamsmentioning

confidence: 99%

Section: Fgm Beamsmentioning

confidence: 99%

Section: Fgm Beamsmentioning

confidence: 99%

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Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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“…This consideration results in a double beam model which were used to simulate pavement or foundation beam lying over geocell improved earth bed subjected to static load (Maheshwari and Viladkar, 2009;Zhao et al, 2016;Zhang et al, 2018). Other engineering systems were also studied by utilizing such models to understand the behavior of response under moving load considering perfect contact between the top beam and neighboring material (Hussein and Hunt, 2006;Yuan et al, 2009;Auersch, 2012;Mohammadzadeh et al, 2014;Deng et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Modeling of Rail Tracks on Stone Column Reinforced Tensionless Foundations

Bhatra

Maheshwari

2019

Front. Built Environ.

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This research investigates the response of rails on geocell-stone column composite reinforced foundation beds under a moving load. Improved earth bed has been considered to respond only to compressive forces. The granular mat below the rail has been idealized as a Pasternak shear layer and geocell reinforcement as an infinite beam with finite bending stiffness. Soft soil and stone columns have been symbolized by Winkler springs of different stiffnesses. Analysis has been carried out with due consideration to viscous damping in the system. The governing differential equations have been established and simplified for general use with the help of dimensionless parameters. These equations have been solved in presence of appropriate boundary conditions by utilizing Finite difference method in combination with iterative Gauss-Seidel procedure. Inclusion of stone columns has been observed to significantly affect the onset of separation between rail and the soil layer underneath. Various parameters namely, applied load and its velocity, stiffnesses of top, bottom soil layers and stone columns, damping ratio, relative flexural rigidity, depth of placement of geocell, configuration of stone columns have been found to affect the response of soil-foundation system significantly. Improvement in the properties of soil by means of higher value of relative compressibility resulted in typical reduction of 50% in maximum deflection. It has been observed that the region of detachment reduces on increasing the depth of placement of the bottom beam. Sensitivity analysis highlighted the greater sensitivity of upward deflection as compared to the downward deflection of rail with respect to all the parameters except for relative compressibility of the soil and relative stiffness of the stone columns.

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“…Moreover, Winkler elastic layers are also accoutered for in the vibration analysis of coupling interface of the multiple-beam system [5][6][7]. Deng et al [8] also studied the double functionally graded Timoshenko beam system resting on Winkler-Pasternak elastic foundation using Hamilton's principle.…”

Section: Introductionmentioning

confidence: 99%

Flexural Vibration Analysis of Nonuniform Double‐Beam System with General Boundary and Coupling Conditions

Chen

Zhong

2018

Shock and Vibration

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In this paper, an analytical modeling approach for the flexural vibration analysis of the nonuniform double-beam system is proposed via an improved Fourier series method, in which both types of translational and rotational springs are introduced to account for the mechanical coupling on the interface as well as boundary restraints. Energy formulation is employed for the dynamic description of the coupling system. With the aim to treat the varying thickness across the beam in a unified pattern, the relevant variables are all expanded into Fourier series. Supplementary terms with the smoothed characteristics are introduced to the standard Fourier series for the construction of displacement admissible function for each beam. In conjunction with the Rayleigh-Ritz procedure, the transverse modal characteristics of nonuniform double-beam system can be obtained by solving a standard eigenvalue problem. Instead of solving the certain value of nonideal boundary conditions, the continuous spring stiffnesses of the boundary conditions are considered, and the rotational restrains are introduced in the coupling beam interface. Numerical results are then presented to demonstrate the reliability of the current model and study the influence of various parameters, such as taper ratio, boundary, and coupling strength on the free vibration characteristics, with the emphasis put on the rotational restraining coefficients on the beam interface. is work can provide an efficient modeling framework for the vibration characteristics study of the complex double-beam system, especially with arbitrary varying thickness and coupling stiffness.

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Vibration and buckling analysis of double-functionally graded Timoshenko beam system on Winkler-Pasternak elastic foundation

Cited by 84 publications

References 58 publications

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Modeling of Rail Tracks on Stone Column Reinforced Tensionless Foundations

Flexural Vibration Analysis of Nonuniform Double‐Beam System with General Boundary and Coupling Conditions

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